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Analysis, Design, and Order Estimation of Least-Squares FIR Equalizers for Bandwidth Extension of ADCs

Authors
  • Wang, Yinan1
  • Johansson, Håkan2
  • Li, Nan1
  • Li, Qingjiang1
  • 1 National University of Defense Technology, College of Electronic Science and Engineering, Changsha, 410073, China , Changsha (China)
  • 2 Linköping University, Division of Communication Systems, Department of Electrical Engineering, Linköping, 581 83, Sweden , Linköping (Sweden)
Type
Published Article
Journal
Circuits, Systems, and Signal Processing
Publisher
Springer US
Publication Date
Oct 08, 2018
Volume
38
Issue
5
Pages
2165–2186
Identifiers
DOI: 10.1007/s00034-018-0958-6
Source
Springer Nature
Keywords
License
Yellow

Abstract

In modern mixed-signal systems, it is important to build the conversion components with a flat frequency response over their full Nyquist frequency band. However, with increasing circuit speed, it is becoming more difficult to achieve this, due to limitations of the analog front-end circuits. This paper considers finite-length impulse-response (FIR) filters, designed in the least-squares sense, for the bandwidth extension of analog-to-digital converters, which is one of the most important applications in frequency response equalization. The main contributions of this paper are as follows: Firstly, based on extensive simulations, filter order-estimation expressions of the least-squares designed equalizers are derived. It appears to be the first time that order-estimation expressions are presented for any least-squares designed FIR filter. These expressions accurately estimate the order required for given specifications on the targeted extended bandwidth systems. Secondly, based on the derived order-estimation expressions, systematic design procedures are presented, which contribute to reducing the design time. Finally, a relation between the dynamic-range degradation and the system parameters is also derived and verified in the paper.

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